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Alexus [3.1K]
3 years ago
7

In 4 games, Larry averaged 23 PPG (points per game). How many points does he need to score in the last game to have an average o

f 25 PPG? Explain how to use the mean and the data given to find the answer.
Mathematics
2 answers:
ivann1987 [24]3 years ago
8 0
Larry needs to score 33 points in the last game to have an average of 25 PPG.

To find the answer, we can solve the equation:

\frac{(4)23+p}{5}=25

<em />(where <em>p</em> is how many points he needs to score in the last game)

To find the mean of a group of numbers, you add them all up and divide the total by the number of numbers there are. Since Larry averaged 23 PPG in 4 games, we can multiply 23 by 4 to get the total of the first 4 games from the data. Then, we find <em>p</em>, which we will add to get our final total. Then, you divide by the 5 games.

\frac{(4)23+p}{5}=25
\frac{92+p}{5}=25
{92+p}=125
p=33

First, I simplified 4 x 23 to get 92. Then, I multiplied each side by 5 to get rid of the denominator. Finally, I subtracted 92 from each side to isolate <em>p</em>, and found that <em>p</em> = 33.


Charra [1.4K]3 years ago
3 0

Answer:

Multiply 5 by 25 to find the total points Larry needs to score in 5 games. 5 x 25 = 125. Then find the total points Larry scored in the first 4 games. 4 x 23 = 92. Subtract to find the number of points Larry needs to score in the fifth game. 125 – 92 = 33 points. Larry needs to score 33 points in the last game.

Step-by-step explanation:

That's the sample response on Edge

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Find the mean median and mode of the data set round to the nearest tenth 12 23 17 20 14 14 18 16 17 18 18
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For the given data set,

12,23,17,20,14,14,18,16,17,18,18

We have to determine the mean, median and mode.

Mean is calculated by the " sum of all the observations divided by the total number of observations".

First of all, let us arrange the numbers in ascending order.

12, 14, 14, 16, 17, 17, 18, 18, 18, 20, 23

Mean = \frac{12+14+14+16+17+17+18+18+18+20+23}{11}

Mean = \frac{187}{11}

Mean = 17

So, the mean of the data set is 17.

The mode of a set of numbers is the one that occurs most often.

Since, we observe that '18' is a number among the data set which occurs often.

Therefore, mode of the data set is 18.

Now, we will calculate median.

Since there are 11 terms. Since 11 is an odd number.

Median = \frac{n+1}{2}th observation

= \frac{11+1}{2}

= 6th observation

From the arranged data set, the 6th observation is 17.

So, the median of the data set is 17.

Hence, Mean = 17

Mode = 18

Median = 17

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3 years ago
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